Question

Divide by long division: (3d^2+2d-29)/(d+3)

Answer 1

The dividend of the given expression above is,
     3d² + 2d - 29

and its divisor is equal to d+3. The steps in the long division are written below.

1. First, divide the first term of the dividend (3d²) by first term of the divisor (d). This gives us 3d. 

2. Next, multiply the answer, 3d, by the divisor (d+3). This gives us 3d² + 9d.

3. Then, subtract the answer, 3d² + 9d from the dividend, 3d²+2d-29. This gives us,

                      -7d - 29

4. Next, divide the first term of -7d by the first term of the divisor, d. This gives us the answer of -7.

5. Next, multiply the answer, -7, by the divisor, d+3. This gives us -7d-29

6. Then, subtract the answer in step 5 from the answer in step 3. This gives us,
     -7d-29 - (-7d-39) = 0

7. Combining the answer in steps 1 and 4 for the final answer will give us the answer of
          3d-7

Answer: 3d-7